Marco Donatelli

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 47

Top Topics

Graph Laplacian

Boundary Conditions

Image Deblurring

Top Venues

Numer. Linear Algebra Appl.

J. Comput. Appl. Math.

Numer. Algorithms

Publications

Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria
Guest Editorial JMIV Special Issue SSVM'23. J. Math. Imaging Vis. 66 (4) (2024)
Marco Donatelli, Davide Furchì
Improved parameter selection strategy for the iterated Arnoldi-Tikhonov method. CoRR (2024)
Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci
Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems. CoRR (2024)
Carlo Santambrogio, Monica Pragliola, Alessandro Lanza, Marco Donatelli, Luca Calatroni
Whiteness-based bilevel learning of regularization parameters in imaging. CoRR (2024)
Danyal Ahmad, Marco Donatelli, Mariarosa Mazza, Stefano Serra Capizzano, Ken Trotti
A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring. CoRR (2024)
Marco Donatelli, Rolf Krause, Mariarosa Mazza, Ken Trotti
Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes. J. Comput. Appl. Math. 444 (2024)
Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. Numer. Linear Algebra Appl. 30 (1) (2023)
Rafael Díaz Fuentes, Marco Donatelli, Caterina Fenu, Giorgio Mantica
Estimating the trace of matrix functions with application to complex networks. Numer. Algorithms 92 (1) (2023)
Davide Bianchi, Marco Donatelli, Davide Furchì, Lothar Reichel
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method. CoRR (2023)
Davide Bianchi, Davide Evangelista, Stefano Aleotti, Marco Donatelli, Elena Loli Piccolomini, Wenbin Li
A data-dependent regularization method based on the graph Laplacian. CoRR (2023)
Davide Bianchi, Marco Donatelli, Davide Evangelista, Wenbin Li, Elena Loli Piccolomini
Graph Laplacian and Neural Networks for Inverse Problems in Imaging: GraphLaNet. SSVM (2023)
Alessandro Buccini, Marco Donatelli, Lothar Reichel
Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems. J. Comput. Appl. Math. 423 (2023)
D. Ahmad, Marco Donatelli, M. Mazza, Stefano Serra Capizzano, Ken Trotti
A smoothing analysis for multigrid methods applied to tempered fractional problems. CoRR (2022)
Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci
Symbol based convergence analysis in multigrid methods for saddle point problems. CoRR (2022)
Marco Donatelli, Rolf Krause, Mariarosa Mazza, Matteo Semplice, Ken Trotti
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers. Numer. Linear Algebra Appl. 29 (5) (2022)
Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci
A Symbol-Based Analysis for Multigrid Methods for Block-Circulant and Block-Toeplitz Systems. SIAM J. Matrix Anal. Appl. 43 (1) (2022)
Marco Donatelli, Rolf Krause, Mariarosa Mazza, Ken Trotti
Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes. CoRR (2022)
Marco Donatelli, Paola Ferrari, Silvia Gazzola
Symmetrization Techniques in Image Deblurring. CoRR (2022)
Davide Bianchi, Marco Donatelli, Fabio Durastante, Mariarosa Mazza
Compatibility, embedding and regularization of non-local random walks on graphs. CoRR (2021)
Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. CoRR (2021)
Stefano Cipolla, Marco Donatelli, Fabio Durastante
Regularization of inverse problems by an approximate matrix-function technique. Numer. Algorithms 88 (3) (2021)
Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems. CoRR (2021)
Davide Bianchi, Marco Donatelli
Graph approximation and generalized Tikhonov regularization for signal deblurring. ICCSA (Workshops) (2021)
Alessandro Buccini, Marco Donatelli
regularization for image reconstruction. ICCSA (Workshops) (2021)
Marco Donatelli, Paola Ferrari, Isabella Furci, Stefano Serra Capizzano, Debora Sesana
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Numer. Linear Algebra Appl. 28 (4) (2021)
Davide Bianchi, Alessandro Buccini, Marco Donatelli, Emma Randazzo
Graph Laplacian for image deblurring. CoRR (2021)
Davide Bianchi, Marco Donatelli
Graph approximation and generalized Tikhonov regularization for signal deblurring. CoRR (2021)
Alessandro Buccini, Marco Donatelli, Lothar Reichel, Wei-Hong Zhang
A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Numer. Linear Algebra Appl. 28 (2) (2021)
Alessandro Buccini, Pietro Dell'Acqua, Marco Donatelli
A general framework for ADMM acceleration. Numer. Algorithms 85 (3) (2020)
Marco Donatelli, Rolf Krause, Mariarosa Mazza, Ken Trotti
Multigrid preconditioners for anisotropic space-fractional diffusion equations. Adv. Comput. Math. 46 (3) (2020)
Marco Donatelli, Paola Ferrari, Isabella Furci, Stefano Serra Capizzano, Debora Sesana
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. CoRR (2019)
Marco Donatelli, Paola Novara, Lucia Romani, Stefano Serra Capizzano, Debora Sesana
A merged tuning of binary and ternary Loop's subdivision. Comput. Aided Geom. Des. 69 (2019)
Yaru Fan, Alessandro Buccini, Marco Donatelli, Ting-Zhu Huang
A non-convex regularization approach for compressive sensing. Adv. Comput. Math. 45 (2) (2019)
Alessandro Buccini, Marco Donatelli, Fabio Ferri
Weakly Constrained Lucy-Richardson with Applications to Inversion of Light Scattering Data. J. Sci. Comput. 74 (2) (2018)
Marco Donatelli, Mariarosa Mazza, Stefano Serra Capizzano
Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations. SIAM J. Sci. Comput. 40 (6) (2018)
Alessandro Buccini, Marco Donatelli, Ronny Ramlau
A Semiblind Regularization Algorithm for Inverse Problems with Application to Image Deblurring. SIAM J. Sci. Comput. 40 (1) (2018)
Alessandro Buccini, Marco Donatelli, Lothar Reichel
Iterated Tikhonov regularization with a general penalty term. Numer. Linear Algebra Appl. 24 (4) (2017)
Marco Donatelli, Carlotta Giannelli, Duccio Mugnaini, Alessandra Sestini
Curvature continuous path planning and path finding based on PH splines with tension. Comput. Aided Des. 88 (2017)
Hamid Moghaderi, Mehdi Dehghan, Marco Donatelli, Mariarosa Mazza
Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. J. Comput. Phys. 350 (2017)
Pietro Dell'Acqua, Marco Donatelli, Claudio Estatico, Mariarosa Mazza
Structure Preserving Preconditioners for Image Deblurring. J. Sci. Comput. 72 (1) (2017)
Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra Capizzano, Hendrik Speleers
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis. SIAM J. Numer. Anal. 55 (1) (2017)
Marco Donatelli, Ali Dorostkar, Mariarosa Mazza, Maya G. Neytcheva, Stefano Serra Capizzano
Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Comput. Math. Appl. 74 (5) (2017)
Marco Donatelli, Thomas Huckle, Mariarosa Mazza, Debora Sesana
Image deblurring by sparsity constraint on the Fourier coefficients. Numer. Algorithms 72 (2) (2016)
Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra Capizzano, Hendrik Speleers
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Math. Comput. 85 (300) (2016)
Yuantao Cai, Marco Donatelli, Davide Bianchi, Ting-Zhu Huang
Regularization Preconditioners for Frame-Based Image Deblurring with Reduced Boundary Artifacts. SIAM J. Sci. Comput. 38 (1) (2016)
Marco Donatelli, Mariarosa Mazza, Stefano Serra Capizzano
Spectral analysis and structure preserving preconditioners for fractional diffusion equations. J. Comput. Phys. 307 (2016)
Marco Donatelli, Carlo Garoni, Mariarosa Mazza, Stefano Serra Capizzano, Debora Sesana
Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Numer. Linear Algebra Appl. 23 (1) (2016)
Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra Capizzano, Hendrik Speleers
Two-grid optimality for Galerkin linear systems based on B-splines. Comput. Vis. Sci. 17 (3) (2015)
Marco Donatelli, David R. Martin, Lothar Reichel
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Appl. Math. Comput. 253 (2015)
Marco Donatelli, Lothar Reichel
Square smoothing regularization matrices with accurate boundary conditions. J. Comput. Appl. Math. 272 (2014)
Vincenza Del Prete, Fabio Di Benedetto, Marco Donatelli, Stefano Serra Capizzano
Symbol approach in a signal-restoration problem involving block Toeplitz matrices. J. Comput. Appl. Math. 272 (2014)
Marco Donatelli, Carlo Garoni, Mariarosa Mazza, Stefano Serra Capizzano, Debora Sesana
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Appl. Math. Comput. 245 (2014)
Pietro Dell'Acqua, Marco Donatelli, Claudio Estatico
Preconditioners for image restoration by reblurring techniques. J. Comput. Appl. Math. 272 (2014)
Marco Donatelli, Nicola Mastronardi
Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions. J. Comput. Appl. Math. 236 (16) (2012)
Marco Donatelli, Arthur Neuman, Lothar Reichel
Square regularization matrices for large linear discrete ill-posed problems. Numer. Linear Algebra Appl. 19 (6) (2012)
Marco Donatelli
On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov. Numer. Algorithms 60 (4) (2012)
Roberto Cavoretto, Alessandra De Rossi, Marco Donatelli, Stefano Serra Capizzano
Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Numer. Linear Algebra Appl. 19 (1) (2012)
Zheng-Jian Bai, Marco Donatelli, Stefano Serra Capizzano
Fast Preconditioners for Total Variation Deblurring with Antireflective Boundary Conditions. SIAM J. Matrix Anal. Appl. 32 (3) (2011)
Marco Donatelli, Matteo Semplice, Stefano Serra Capizzano
Analysis of Multigrid Preconditioning for Implicit PDE Solvers for Degenerate Parabolic Equations. SIAM J. Matrix Anal. Appl. 32 (4) (2011)
Marco Donatelli, Stefano Serra Capizzano
Antireflective Boundary Conditions for Deblurring Problems. J. Electr. Comput. Eng. 2010 (2010)
Marco Donatelli
An algebraic generalization of local Fourier analysis for grid transfer operators in multigrid based on Toeplitz matrices. Numer. Linear Algebra Appl. 17 (2-3) (2010)
Antonio Aricò, Marco Donatelli
-cycle Multigrid for multilevel matrix algebras: proof of optimality. Numerische Mathematik 105 (4) (2007)
Marco Donatelli, Stefano Serra Capizzano
On the Regularizing Power of Multigrid-type Algorithms. SIAM J. Sci. Comput. 27 (6) (2006)
Marco Donatelli
A multigrid for image deblurring with Tikhonov regularization. Numer. Linear Algebra Appl. 12 (8) (2005)
Antonio Aricò, Marco Donatelli, Stefano Serra Capizzano
V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems. SIAM J. Matrix Anal. Appl. 26 (1) (2004)